SOLUTION: line ef is perpendicular to line fg if line fg has F(7,2) and G(10,4), write the equation of line EF in slope-intercept form

Algebra ->  Points-lines-and-rays -> SOLUTION: line ef is perpendicular to line fg if line fg has F(7,2) and G(10,4), write the equation of line EF in slope-intercept form       Log On


   

Question 918699: line ef is perpendicular to line fg if line fg has F(7,2) and G(10,4), write the equation of line EF in slope-intercept form
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of FG is,
m=%284-2%29%2F%2810-7%29=2%2F3
Perpendicular lines have slopes that are negative reciprocals,
m%5Bp%5D%2A%282%2F3%29=-1
m%5Bp%5D=-3%2F2
Use the point-slope form for EF,
y-2=-%283%2F2%29%28x-7%29
y-2=-%283%2F2%29x%2B21%2F2
y=-%283%2F2%29x%2B21%2F2%2B4%2F2
y=-%283%2F2%29x%2B25%2F2
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